[Proof of Corollary REF ]
It follows from
\(1\le {q}+{p}\le 2\)  with \(p+q<1\)  and \(p+q<1\)  that \(u\in L^{4}(0,T;L^{4}(\mathbb {R}^{n}))\) . Thanks to the work [1]}, we observe blackthat \(u\)  is a suitable weak solution. Following the path of the above proof, we complete the proof.
